Laws Of Motion Question 341

Question: A particle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down is

Options:

A) $ \sqrt{gR} $

B) $ \sqrt{2gR} $

C) $ \sqrt{3gR} $

D) $ \sqrt{5gR} $

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Answer:

Correct Answer: A

Solution:

[a] The velocity should be such that the centripetal acceleration is equal to the acceleration due to gravity $ \frac{v^{2}}{R}=g $ Or $ v=\sqrt{gR}. $



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